Home
Class 12
MATHS
By finding the area of a regular polygon...

By finding the area of a regular polygon of n sides inscribed in a circle of radius r ,show that the area of the circle is ` pi r ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
` =[because underset ( xto 0) lim (sin x)/( x )=1]`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise EXERCISE 17 ( M,C,Q )|4 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Very short Answer type Questions|10 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

A nine-side regular polygon with side length 2, is inscribed in a circle. The radius of the circle is

Prove that the area of a regular polygon hawing 2n sides, inscribed in a circle, is the geometric mean of the areas of the inscribed and circumscribed polygons of n sides.

The ratio of the area of a regular polygon of n sides inscribed in a circle to that of the polygon of same number of sides circumscribing the same is 3:4. Then the value of n is

Diameter of a circle is 42 cm ,then find the area of the circle.

Diameter of a circle is 14 cm ,then find the area of the circle.

Diameter of a circle is 98 cm ,then find the area of the circle.

Diameter of a circle is 28 cm ,then find the area of the circle.

The area of the circle and the area of a regular polygon inscribed the circle of n sides and of perimeter equal to that of the circle are in the ratio of